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Finding the Third Proportional to 18,408 and 29,194.50

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Solution

The third proportional to 18,408 and 29,194.50 is: 46,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,408 : 29,194.50 = 29,194.50 : x
  2. Step 2: Convert to fraction form
    18,408/29,194.50 = 29,194.50/x
  3. Step 3: Cross multiply
    18,408x = 29,194.50 × 29,194.50
  4. Step 4: Simplify right side
    18,408x = 852,318,830.25
  5. Step 5: Solve for x
    x = 852,318,830.25/18,408
  6. Step 6: Final answer
    x = 46,301.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.